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The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excluded the average reduces by 1 year. What is the age of the class teacher?
- a)38
- b)39
- c)40
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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The average age of 24 students and the class teacher is 16 years. If t...
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The average age of 24 students and the class teacher is 16 years. If t...
Let the age of the class teacher be x years.
Given, the average age of 24 students and the class teacher is 16 years.
So, the total age of 24 students and the class teacher = 25 × 16 = 400 years
Now, if the age of the class teacher is excluded, the average age reduces by 1 year.
Let the new average be y years.
So, the total age of 24 students = 24 × y
We know that, the total age of 24 students and the class teacher = 400 years
Hence, we can form an equation as follows:
24y + x = 400
Also, we know that if the age of the class teacher is excluded, the average age reduces by 1 year.
i.e., (24 × y)/(24 - 1) = y + 1
Simplifying this, we get:
y = 15
Substituting this value of y in the above equation, we get:
24 × 15 + x = 400
x = 400 - 24 × 15
x = 40
Therefore, the age of the class teacher is 40 years. Hence, option (c) is the correct answer.
Given, the average age of 24 students and the class teacher is 16 years.
So, the total age of 24 students and the class teacher = 25 × 16 = 400 years
Now, if the age of the class teacher is excluded, the average age reduces by 1 year.
Let the new average be y years.
So, the total age of 24 students = 24 × y
We know that, the total age of 24 students and the class teacher = 400 years
Hence, we can form an equation as follows:
24y + x = 400
Also, we know that if the age of the class teacher is excluded, the average age reduces by 1 year.
i.e., (24 × y)/(24 - 1) = y + 1
Simplifying this, we get:
y = 15
Substituting this value of y in the above equation, we get:
24 × 15 + x = 400
x = 400 - 24 × 15
x = 40
Therefore, the age of the class teacher is 40 years. Hence, option (c) is the correct answer.
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The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excludedthe average reduces by 1 year. What is the age of the class teacher?a)38b)39c)40d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excludedthe average reduces by 1 year. What is the age of the class teacher?a)38b)39c)40d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excludedthe average reduces by 1 year. What is the age of the class teacher?a)38b)39c)40d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excludedthe average reduces by 1 year. What is the age of the class teacher?a)38b)39c)40d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excludedthe average reduces by 1 year. What is the age of the class teacher?a)38b)39c)40d)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excludedthe average reduces by 1 year. What is the age of the class teacher?a)38b)39c)40d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average age of 24 students and the class teacher is 16 years. If the age of the class teacher is excludedthe average reduces by 1 year. What is the age of the class teacher?a)38b)39c)40d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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